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Finding the Fourth Proportional to 1,193.02, 1,646.38 and 654.66

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Solution

The fourth proportional to 1,193.02, 1,646.38 and 654.66 is: 903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.02 : 1,646.38 = 654.66 : x
  2. Step 2: Convert to fraction form
    1,193.02/1,646.38 = 654.66/x
  3. Step 3: Cross multiply
    1,193.02x = 1,646.38 × 654.66
  4. Step 4: Simplify right side
    1,193.02x = 1,077,819.13
  5. Step 5: Solve for x
    x = 1,077,819.13/1,193.02
  6. Step 6: Final answer
    x = 903.44

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.